SOLUTION: Which derived unit is appropriate for the following situation? When painting the lines on the highway, the machine operator discovered he had to refill the tank holding the lite

Question 1073374: Which derived unit is appropriate for the following situation?
When painting the lines on the highway, the machine operator discovered he had to refill the tank holding the liters of paint every 2 kilometers.
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
i would say the base units here would be the tank itself and the length of the highway.

the derived unit could be number of kilometers per tank.
the derived unit could be number of tanks per kilometer.

for example, since the tank has to be refilled every 2 miles, then:

the number of kilometers per tank would be 2/1 = 2.
the number of tanks per kilometer would 1/2 = .5.

alternatively:

the derived unit could be kilometers per liter.
the derived unit could be number of liters per kilometer.

for example, assuming the tank holds 5 liters of paint and has to be refilled every 2 kilometers, then:

the number of kilometers per liter of paint in the tank would be 2/5 = .4

the number of liters of paint in the tank per kilometer would 5/2 = 2.5.

let's assume that you painted 10 kilometers of highway.

the number of kilometers per tank is 2, therefore the number of tanks required would be 10/2 = 5.

the number of tanks per kilometer is .5, therefore the number of tanks required is 10 * .5 = 5.

if the tank holds 5 liters, then:

the number of kilometers per liter is .4, therefore the number of liters of paint required is 10/.4 = 25.

the number of liters per kilometer is 2.5, therefore the number of liters of paint required is 10 * 2.5 = 25.

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